Quantization of Nonstandard Hamiltonian Systems

Details Quantization of Nonstandard Hamiltonian Systems Quantization of Nonstandard Hamiltonian Systems

1995-08-15

arxiv.org/abs/gr-qc/9508037v1

J.Phys.A30:3553-3572,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex file, 23 pages, no figures

Scientific paper

10.1088/0305-4470/30/10/029

The quantization of classical theories that admit more than one Hamiltonian description is considered. This is done from a geometrical viewpoint, both at the quantization level (geometric quantization) and at the level of the dynamics of the quantum theory. A spin-1/2 system is taken as an example in which all the steps can be completed. It is shown that the geometry of the quantum theory imposes restrictions on the physically allowed nonstandard quantum theories.

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